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Finding the Fourth Proportional to 157,189.84, 216,921.98 and 85,570.38

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Solution

The fourth proportional to 157,189.84, 216,921.98 and 85,570.38 is: 118,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,189.84 : 216,921.98 = 85,570.38 : x
  2. Step 2: Convert to fraction form
    157,189.84/216,921.98 = 85,570.38/x
  3. Step 3: Cross multiply
    157,189.84x = 216,921.98 × 85,570.38
  4. Step 4: Simplify right side
    157,189.84x = 18,562,096,258.95
  5. Step 5: Solve for x
    x = 18,562,096,258.95/157,189.84
  6. Step 6: Final answer
    x = 118,087.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.